Free · Class 10 · 6 worksheets · answer keys · practise online · set 71
Arithmetic progression (AP) worksheets — Class 10
Free arithmetic progression worksheets for Class 10: common difference, nth term, which term, sum of n terms, is it an AP and word problems — with answers.
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An AP adds the same number each time: 3, 7, 11, 15… The common difference d = a₂ − a₁ = 4. nth term : aₙ = a + (n − 1)d. Example: the 10th term of 3, 7, 11… is 3 + 9 × 4 = 39.Sum of n terms : Sₙ = n/2 [2a + (n − 1)d] = n/2 (first term + last term).
Common difference (Class 10) Is it an AP? (Class 10) nth term (Class 10) Which term? (Class 10) Sum of n terms (Class 10) AP word problems (Class 10)
Common difference Class 10 · Worksheet 1 · set 71
Name: Date: Score: / 10
Find d.
Common difference of 16, 10, 4, −2, … Common difference of 3, −5, −13, −21, … Common difference of −1, 6, 13, 20, … Common difference of −20, −30, −40, −50, … Common difference of −2, −11, −20, −29, … Common difference of 1, 12, 23, 34, … Common difference of 7, −4, −15, −26, … Common difference of −18, −15, −12, −9, … Common difference of −7, −2, 3, 8, … Common difference of −6, −1, 4, 9, …
✅ Answer key — Common difference
d = −6 d = −8 d = 7 d = −10 d = −9 d = 11 d = −11 d = 3 d = 5 d = 5 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 71
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is −10, −17, −26, −34 an AP? Is −10, −14, −18, −22 an AP? Is −2, 1, 4, 10 an AP? Is −8, −6, −4, −2 an AP? Is −7, −3, 1, 7 an AP? Is 1, −5, −11, −17 an AP? Is 0, −4, −11, −12 an AP? Is 4, 6, 5, 10 an AP?
✅ Answer key — Is it an AP?
No Yes, d = −4 No Yes, d = 2 No Yes, d = −6 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 71
Name: Date: Score: / 8
Find the term.
The 28th term of −4, 1, 6, … The 31st term of −15, −9, −3, … The 39th term of 3, 4, 5, … The 38th term of 3, 2, 1, … The 23rd term of −20, −18, −16, … The 33rd term of −8, −7, −6, … The 31st term of −15, −22, −29, … The 20th term of 1, −2, −5, …
✅ Answer key — nth term
131 165 41 −34 24 24 −225 −56 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 71
Name: Date: Score: / 8
Solve.
Which term of −14, −15, −16, … is −33? Which term of 7, 1, −5, … is −89? Which term of −12, −19, −26, … is −110? Which term of −16, −21, −26, … is −221? Which term of −16, −19, −22, … is −94? Which term of −11, −2, 7, … is 286? Which term of 16, 8, 0, … is −40? Which term of 16, 18, 20, … is 86?
✅ Answer key — Which term?
the 20th term the 17th term the 15th term the 42nd term the 27th term the 34th term the 8th term the 36th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 71
Name: Date: Score: / 8
Find the sum.
Sum of the first 30 terms of 10, 17, 24, … Sum of the first 10 terms of 13, 20, 27, … Sum of the first 29 terms of 2, −3, −8, … Sum of the first 19 terms of −4, 5, 14, … Sum of the first 24 terms of −3, 4, 11, … Sum of the first 14 terms of 7, 10, 13, … Sum of the first 11 terms of 12, 13, 14, … Sum of the first 25 terms of 2, −1, −4, …
✅ Answer key — Sum of n terms
3345 445 −1972 1463 1860 371 187 −850 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 71
Name: Date: Score: / 6
Solve.
Find the sum of all two-digit numbers that are multiples of 5. Aman saves ₹350 in the first month and ₹60 more every month after that. How much does he save in 11 months? Aman saves ₹500 in the first month and ₹30 more every month after that. How much does he save in 8 months? Aman saves ₹150 in the first month and ₹50 more every month after that. How much does he save in 7 months? A hall has 11 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 25th row? Aman saves ₹350 in the first month and ₹20 more every month after that. How much does he save in 10 months?
✅ Answer key — AP word problems
945 ₹7150 ₹4840 ₹2100 83 ₹4400 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Questions
What is the formula for the nth term of an AP? aₙ = a + (n − 1)d, where a is the first term and d the common difference.
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